Can (x − 2) be the remainder on division


Can (x − 2) be the remainder on division of a polynomial p(x) by (2x + 3)? Justify your answer.


If we divide any polynomial by another polynomial, then the degree of divisor is always greater than the degree of remainder.

In the given question the degrees of remainder (x−2) and divisor (2x+3) are same

Therefore if we divide the polynomial P(x) by (2x+3), then (x−2) cannot be the remainder

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